Atkin-Lehner |
3+ 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
92055i |
Isogeny class |
Conductor |
92055 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-1.3960011946727E+20 |
Discriminant |
Eigenvalues |
1 3+ 5- 2 2 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,79413,-568363104] |
[a1,a2,a3,a4,a6] |
Generators |
[44965807569767817885339880462880:-35418934962194451402342799154208:56487830581316234589682197367] |
Generators of the group modulo torsion |
j |
1177249106879/2967318636615 |
j-invariant |
L |
8.291112353855 |
L(r)(E,1)/r! |
Ω |
0.085382858884633 |
Real period |
R |
48.552557647058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972518 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4845f1 |
Quadratic twists by: -19 |